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2021012002100 = 2252721322440541
BaseRepresentation
bin11101011010001101101…
…100111101010100110100
321011012120210122011010002
4131122031230331110310
5231103013033031400
64144235021050432
7266004363401300
oct35321554752464
97135523564102
102021012002100
1170a119650a83
122878289b6a18
131187717bc100
146db63328d00
15378879eaed5
hex1d68db3d534

2021012002100 has 162 divisors, whose sum is σ = 5524232711634. Its totient is φ = 639616723200.

The previous prime is 2021012002069. The next prime is 2021012002103. The reversal of 2021012002100 is 12002101202.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1331245209616 + 689766792484 = 1153796^2 + 830522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021012002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 392171 + ... + 2048370.

Almost surely, 22021012002100 is an apocalyptic number.

2021012002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021012002100 is an abundant number, since it is smaller than the sum of its proper divisors (3503220709534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2021012002100 is a wasteful number, since it uses less digits than its factorization.

2021012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440595 (or 2440568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2021012002100 its reverse (12002101202), we get a palindrome (2033014103302).

The spelling of 2021012002100 in words is "two trillion, twenty-one billion, twelve million, two thousand, one hundred".